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Finding the Fourth Proportional to 4,568.64, 6,849.72 and 2,375.16

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Solution

The fourth proportional to 4,568.64, 6,849.72 and 2,375.16 is: 3,561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.64 : 6,849.72 = 2,375.16 : x
  2. Step 2: Convert to fraction form
    4,568.64/6,849.72 = 2,375.16/x
  3. Step 3: Cross multiply
    4,568.64x = 6,849.72 × 2,375.16
  4. Step 4: Simplify right side
    4,568.64x = 16,269,180.96
  5. Step 5: Solve for x
    x = 16,269,180.96/4,568.64
  6. Step 6: Final answer
    x = 3,561.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.